Lesson 12 Summary
When a straight line provides a reasonable summary of the relationship between two numerical variables, we say that the two variables are linearly related or that there is a linear relationship between the two variables.
1. You are traveling around the United States with friends. After spending a day in a town that is 2000 feet above sea level, you plan to spend the next several days in a town that is 5000 feet above sea level. Is this town likely to have more or fewer clear days per year than the town that is 2000 feet above sea-level? Explain your answer.
2. You plan to buy a bike helmet. Based on data presented in this lesson, will buying the most expensive bike helmet give you a helmet with the highest quality rating? Explain your answer.
Students distinguish between scatter plots that display a relationship that can be reasonably modeled by a linear equation and those that should be modeled by a nonlinear equation.
Students use an equation given as a model for a nonlinear relationship to answer questions based on an understanding of the specific equation and the context of the data.Lesson 13 Summary
1. Here is the scatter plot of age (in years) and finish time (in minutes) of the NY City Marathon that you first saw in an example. What type of model (linear, quadratic or exponential) would best describe the relationship between age and finish time? Explain your reasoning.
2. Here is the scatter plot of frying time (in seconds) and moisture content (as a percentage) you first saw in Lesson 12. What type of model (linear, quadratic or exponential) would best describe the relationship between frying time and moisture content? Explain your reasoning.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.